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4325767680 = 293513371171
BaseRepresentation
bin1000000011101010…
…11111101000000000
3102011110200202200210
410001311133220000
532324344031210
61553124114120
7212124263403
oct40165375000
912143622623
104325767680
11191a868313
12a08835940
1353c271c60
142d0713d3a
151a4b73e20
hex101d5fa00

4325767680 has 320 divisors, whose sum is σ = 15308270208. Its totient is φ = 1035141120.

The previous prime is 4325767679. The next prime is 4325767681. The reversal of 4325767680 is 867675234.

It is an interprime number because it is at equal distance from previous prime (4325767679) and next prime (4325767681).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4325767681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3693495 + ... + 3694665.

Almost surely, 24325767680 is an apocalyptic number.

4325767680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4325767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7654135104).

4325767680 is an abundant number, since it is smaller than the sum of its proper divisors (10982502528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4325767680 is a wasteful number, since it uses less digits than its factorization.

4325767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The square root of 4325767680 is about 65770.5684938180. The cubic root of 4325767680 is about 1629.3750574528.

The spelling of 4325767680 in words is "four billion, three hundred twenty-five million, seven hundred sixty-seven thousand, six hundred eighty".